To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 41 Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distan different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. O A. z< -2.575, z> 2.575 O B. z< - 2.81 O C. z< - 2.58, z>2.58 O D. z< - 2.81, z> -2.81 VE. z< - 1.645, z> 1.645 OF Z< - 1.96, z> 1.96 O G. z< -2.58 O H. z>2.575 (c) Find the standardized test statistic z for u, "H2- z= - 1.859 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O A. Reject Ho. The standardized test statistic does not fall in the rejection region. O B. Fail to reject Ho. The standardized test statistic falls in the rejection region.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 41 Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distan different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e). Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. O A. z< -2.575, z> 2.575 O B. z< - 2.81 O C. z< - 2.58, z>2.58 O D. z< - 2.81, z> -2.81 VE. z< - 1.645, z> 1.645 OF Z< - 1.96, z> 1.96 O G. z< -2.58 O H. z>2.575 (c) Find the standardized test statistic z for u, "H2- z= - 1.859 (Round to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. O A. Reject Ho. The standardized test statistic does not fall in the rejection region. O B. Fail to reject Ho. The standardized test statistic falls in the rejection region.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
Related questions
Question
100%
Transcribed Image Text:To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 41 feet.
Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 43 feet. Assume the population standard deviation is 4.4 feet. At a = 0.10, can the engineer support the claim that the mean braking distances are
different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e).
Click here to view page 1 of the standard normal distribution table.
Click here to view page 2 of the standard normal distribution table.
A. z< - 2.575, z> 2.575
B. z< - 2.81
O C. z< - 2.58, z> 2.58
D. z< - 2.81, z> - 2.81
E. z< - 1.645, z> 1.645
O F. z< - 1.96, z> 1.96
G. z< - 2.58
O H. z> 2.575
(c) Find the standardized test statistic z for µ, - µ2.
- 1.859 (Round to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
A. Reject Ho: The standardized test statistic does not fall in the rejection region.
B. Fail to reject Ho. The standardized test statistic falls in the rejection region.
C. Fail to reject Ho. The standardized test statistic does not fall in the rejection region.
D. Reject Ho. The standardized test statistic falls in the rejection region.
(e) Interpret the decision in the context of the original claim.
At the
% significance level, there is
sufficient evidence to support the claim that the mean braking distance for Make A automobiles is different from the one for Make B automobiles.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill